Haven't watched it, so I don't know if what they're doing would ruin the heat treat. But the general rule is, if carbon blacking appears on the blade, it was hot enough and/or long enough to damage the temper. I may know of someone who, when he was 12, turned some 440A into something resembling the hardness of butter, by trying to blacken the blade and make it all tacticool, by using fire to coat it in carbon black.
Any blacking is also likely to be a rather nasty contaminant. Random carbon isn't the same as activated charcoal at all. Wood fires naturally produce a small amount of buckytubes, which are essentially fiberglass bits from hell, if you inhale them, and are the component that does most of the lung damage associated with smoke inhalation, IIRC. I can't imagine eating fiberglass from hell being very good for the ol' intestines.
It'd be much smarter to boil the knives, as long as they aren't touching anything hotter than the water (bottom of a pot, hot rocks if using those, etc.). Boiling water is nowhere near hot enough to damage any temper, and boiling is probably one of the better cooking methods in a survival type thing anyway.